Holdings: Sobolev spaces :: THWS Bibkatalog

Sobolev spaces:

Saved in:

Bibliographic Details
Main Authors:	Adams, Robert A. 1940- (Author), Fournier, John J. F. (Author)
Format:	Book
Language:	English
Published:	Amsterdam, [u.a.] Academic Press 2007 Elsevier
Edition:	Second edition, reprinted
Series:	Pure and applied mathematics 140
Subjects:	Sobolev-Raum
Online Access:	Inhaltsverzeichnis
Physical Description:	xiii, 305 Seiten Illustrationen
ISBN:	0120441438 9780120441433

Staff View

MARC


LEADER	00000nam a2200000 cb4500
001	BV023019582
003	DE-604
005	20250417
007	t\|
008	071123s2007 xx a\|\|\| \|\|\|\| 00\|\|\| eng d
020			\|a 0120441438 \|9 0-12-044143-8
020			\|a 9780120441433 \|9 978-0-12-044143-3
035			\|a (OCoLC)255893745
035			\|a (DE-599)BVBBV023019582
040			\|a DE-604 \|b ger \|e rda
041	0		\|a eng
049			\|a DE-19 \|a DE-20 \|a DE-91G \|a DE-634 \|a DE-83
050		0	\|a QA3
084			\|a SK 600 \|0 (DE-625)143248: \|2 rvk
084			\|a 46E35 \|2 msc
084			\|a MAT 464f \|2 stub
100	1		\|a Adams, Robert A. \|d 1940- \|0 (DE-588)141723874 \|4 aut
245	1	0	\|a Sobolev spaces \|c Robert A. Adams and John J. F. Fournier
250			\|a Second edition, reprinted
264		1	\|a Amsterdam, [u.a.] \|b Academic Press \|c 2007
264		1	\|b Elsevier
300			\|a xiii, 305 Seiten \|b Illustrationen
336			\|b txt \|2 rdacontent
337			\|b n \|2 rdamedia
338			\|b nc \|2 rdacarrier
490	1		\|a Pure and applied mathematics \|v 140
650	0	7	\|a Sobolev-Raum \|0 (DE-588)4055345-0 \|2 gnd \|9 rswk-swf
689	0	0	\|a Sobolev-Raum \|0 (DE-588)4055345-0 \|D s
689	0		\|5 DE-604
700	1		\|a Fournier, John J. F. \|0 (DE-588)141723939 \|4 aut
830		0	\|a Pure and applied mathematics \|v 140 \|w (DE-604)BV010177228 \|9 140
856	4		\|m HBZ Datenaustausch \|u https://bvbr.bib-bvb.de:443/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016223690&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA \|z Inhaltsverzeichnis
943	1		\|a oai:aleph.bib-bvb.de:BVB01-016223690

Record in the Search Index

_version_	1829636000707510272
adam_text
adam_txt	CONTENTS Preface ix List of Spaces and Norms xii 1. PRELIMINARIES 1 Notation I Topological Vector Spaces 3 Normed Spaces 4 Spaces of Continuous Functions 10 The Lebesgue Measure in W 13 The Lebesgue Integral I g Distributions and Weak Derivatives 19 2. THE LEBESGUE SPACES LP(f2) 23 Definition and Basic Properties 23 Completeness of LP(Q) 29 Approximation by Continuous Functions 31 Convolutions and Young's Theorem 32 Mollifiers and Approximation by Smooth Functions 36 Precompact Sets in L '(Q) 38 Uniform Convexity 41 The Normed Dual of L '(Q) 45 Mixed Norm Lp Spaces 49 The Marcinkiewicz Interpolation Theorem 52 vi Contents 3. THE SOBOLEV SPACES Wm^(n) 59 Definitions and Basic Properties 59 Duality and the Spaces W~m P' (£2) 62 Approximation by Smooth Functions on £2 65 Approximation by Smooth Functions on W 67 Approximation by Functions in C^°(£2) 70 Coordinate Transformations 77 4. THE SOBOLEV IMBEDDING THEOREM 79 Geometric Properties of Domains 81 Imbeddings by Potential Arguments 87 Imbeddings by Averaging 93 Imbeddings into Lipschitz Spaces 99 Sobolev's Inequality 101 Variations of Sobolev's Inequality 104 W'" p (£2) as a Banach Algebra 106 Optimality of the Imbedding Theorem 108 Nonimbedding Theorems for Irregular Domains 111 Imbedding Theorems for Domains with Cusps 115 Imbedding Inequalities Involving Weighted Norms 119 Proofs of Theorems 4.51 4.53 131 5. INTERPOLATION, EXTENSION, AND APPROXIMATION 135 THEOREMS Interpolation on Order of Smoothness 135 Interpolation on Degree of Sumability 139 Interpolation Involving Compact Subdomains 143 Extension Theorems 146 An Approximation Theorem 159 Boundary Traces 163 6. COMPACT IMBEDDINGS OF SOBOLEV SPACES 167 The Rellich Kondrachov Theorem 167 Two Counterexamples 173 Unbounded Domains — Compact Imbeddings of W™;' (£2) 175 An Equivalent Norm for W™P(S2) 183 Unbounded Domains — Decay at Infinity 186 Unbounded Domains — Compact Imbeddings of Wm p(Q) 195 Hilbert Schmidt Imbeddings 200 vi Contents vii 7. FRACTIONAL ORDER SPACES 205 Introduction 205 The Bochner Integral 206 Intermediate Spaces and Interpolation — The Real Method 208 The Lorentz Spaces 221 Besov Spaces 228 Generalized Spaces of Holder Continuous Functions 232 Characterization of Traces 234 Direct Characterizations of Besov Spaces 241 Other Scales of Intermediate Spaces 247 Wavelet Characterizations 256 8. ORLICZ SPACES AND ORLICZ SOBOLEV SPACES 261 Introduction 261 N Functions 262 Orlicz Spaces 266 Duality in Orlicz Spaces 272 Separability and Compactness Theorems 274 A Limiting Case of the Sobolev Imbedding Theorem 277 Orlicz Sobolev Spaces 281 Imbedding Theorems for Orlicz Sobolev Spaces 282 References 295 Index 301 vii
any_adam_object
any_adam_object_boolean	1
author	Adams, Robert A. 1940- Fournier, John J. F.
author_GND	(DE-588)141723874 (DE-588)141723939
author_facet	Adams, Robert A. 1940- Fournier, John J. F.
author_role	aut aut
author_sort	Adams, Robert A. 1940-
author_variant	r a a ra raa j j f f jjf jjff
building	Verbundindex
bvnumber	BV023019582
callnumber-first	Q - Science
callnumber-label	QA3
callnumber-raw	QA3
callnumber-search	QA3
callnumber-sort	QA 13
callnumber-subject	QA - Mathematics
classification_rvk	SK 600
classification_tum	MAT 464f
ctrlnum	(OCoLC)255893745 (DE-599)BVBBV023019582
discipline	Mathematik
discipline_str_mv	Mathematik
edition	Second edition, reprinted
format	Book
fullrecord	<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>00000nam a2200000 cb4500</leader><controlfield tag="001">BV023019582</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20250417</controlfield><controlfield tag="007">t\|</controlfield><controlfield tag="008">071123s2007 xx a\|\|\| \|\|\|\| 00\|\|\| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0120441438</subfield><subfield code="9">0-12-044143-8</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780120441433</subfield><subfield code="9">978-0-12-044143-3</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)255893745</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV023019582</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-19</subfield><subfield code="a">DE-20</subfield><subfield code="a">DE-91G</subfield><subfield code="a">DE-634</subfield><subfield code="a">DE-83</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA3</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 600</subfield><subfield code="0">(DE-625)143248:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">46E35</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 464f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Adams, Robert A.</subfield><subfield code="d">1940-</subfield><subfield code="0">(DE-588)141723874</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Sobolev spaces</subfield><subfield code="c">Robert A. Adams and John J. F. Fournier</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">Second edition, reprinted</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Amsterdam, [u.a.]</subfield><subfield code="b">Academic Press</subfield><subfield code="c">2007</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="b">Elsevier</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">xiii, 305 Seiten</subfield><subfield code="b">Illustrationen</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Pure and applied mathematics</subfield><subfield code="v">140</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Sobolev-Raum</subfield><subfield code="0">(DE-588)4055345-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Sobolev-Raum</subfield><subfield code="0">(DE-588)4055345-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Fournier, John J. F.</subfield><subfield code="0">(DE-588)141723939</subfield><subfield code="4">aut</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Pure and applied mathematics</subfield><subfield code="v">140</subfield><subfield code="w">(DE-604)BV010177228</subfield><subfield code="9">140</subfield></datafield><datafield tag="856" ind1="4" ind2=" "><subfield code="m">HBZ Datenaustausch</subfield><subfield code="u">https://bvbr.bib-bvb.de:443/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016223690&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="z">Inhaltsverzeichnis</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-016223690</subfield></datafield></record></collection>
id	DE-604.BV023019582
illustrated	Illustrated
index_date	2024-07-02T19:12:32Z
indexdate	2025-04-17T08:01:02Z
institution	BVB
isbn	0120441438 9780120441433
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-016223690
oclc_num	255893745
open_access_boolean
owner	DE-19 DE-BY-UBM DE-20 DE-91G DE-BY-TUM DE-634 DE-83
owner_facet	DE-19 DE-BY-UBM DE-20 DE-91G DE-BY-TUM DE-634 DE-83
physical	xiii, 305 Seiten Illustrationen
publishDate	2007
publishDateSearch	2007
publishDateSort	2007
publisher	Academic Press Elsevier
record_format	marc
series	Pure and applied mathematics
series2	Pure and applied mathematics
spelling	Adams, Robert A. 1940- (DE-588)141723874 aut Sobolev spaces Robert A. Adams and John J. F. Fournier Second edition, reprinted Amsterdam, [u.a.] Academic Press 2007 Elsevier xiii, 305 Seiten Illustrationen txt rdacontent n rdamedia nc rdacarrier Pure and applied mathematics 140 Sobolev-Raum (DE-588)4055345-0 gnd rswk-swf Sobolev-Raum (DE-588)4055345-0 s DE-604 Fournier, John J. F. (DE-588)141723939 aut Pure and applied mathematics 140 (DE-604)BV010177228 140 HBZ Datenaustausch https://bvbr.bib-bvb.de:443/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016223690&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Adams, Robert A. 1940- Fournier, John J. F. Sobolev spaces Pure and applied mathematics Sobolev-Raum (DE-588)4055345-0 gnd
subject_GND	(DE-588)4055345-0
title	Sobolev spaces
title_auth	Sobolev spaces
title_exact_search	Sobolev spaces
title_exact_search_txtP	Sobolev spaces
title_full	Sobolev spaces Robert A. Adams and John J. F. Fournier
title_fullStr	Sobolev spaces Robert A. Adams and John J. F. Fournier
title_full_unstemmed	Sobolev spaces Robert A. Adams and John J. F. Fournier
title_short	Sobolev spaces
title_sort	sobolev spaces
topic	Sobolev-Raum (DE-588)4055345-0 gnd
topic_facet	Sobolev-Raum
url	https://bvbr.bib-bvb.de:443/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016223690&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV010177228
work_keys_str_mv	AT adamsroberta sobolevspaces AT fournierjohnjf sobolevspaces

Holdings

There is no print copy available.

Interlibrary loan Place Request Caution: Not in THWS collection! Indexes

MARC

Record in the Search Index

There is no print copy available.

Similar Items